6q^2-3q=0

Solution for 6q^2-3q=0 equation:

Simplifying
6q2 + -3q = 0

Reorder the terms:
-3q + 6q2 = 0

Solving
-3q + 6q2 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), '3q'.
3q(-1 + 2q) = 0

Ignore the factor 3.
Subproblem 1
Set the factor 'q' equal to zero and attempt to solve:

Simplifying
q = 0

Solving
q = 0

Move all terms containing q to the left, all other terms to the right.

Simplifying
q = 0
Subproblem 2
Set the factor '(-1 + 2q)' equal to zero and attempt to solve:

Simplifying
-1 + 2q = 0

Solving
-1 + 2q = 0

Move all terms containing q to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + 1 + 2q = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 2q = 0 + 1
2q = 0 + 1

Combine like terms: 0 + 1 = 1
2q = 1

Divide each side by '2'.
q = 0.5

Simplifying
q = 0.5
Solution
q = {0, 0.5}